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Step functions nc math 3

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Dawniealaine

This document contains information about various math concepts including: 1) Ms. Adams' rate of travel over different time periods while driving to California shown in a graph. 2) A post office flat rate mailing function graphed based on package weight. 3) The greatest integer and rounding functions, their notation, and whether they are continuous.

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NC Math 3
Ms. Adams is traveling to California to see her sisters. She drives at a constant pace: 100 miles the first two hours 210 miles the next three hours 240 miles the next four hours Create a graph showing her rate for each hour.
The post office offers flat-rate mailing of packages: $1.50 for a package weighing less than 4 oz, $2.50 for a package weighing 4 oz to less than 8 oz, and $3.50 for a package weighing 8 oz to 12 oz. Graph this function. Image source labeled for reuse with modification: https://upload.wikimedia.org/wikipedia/commons/3/37/Small_USPS_Truck.jpg
The greatest integer function returns the greatest integer LESS THAN OR EQUAL TO the input value. Greatest integer notation: f(x) = or = (or occasionally f(x) = [x]). Sometimes called floor function How can it be graphed on a calculator? Is this function continuous?
Step functions nc math 3
The rounding function returns the integer based on the decimal values of the input. Any decimal value < .5 returns the whole number part of the input. Any decimal value .5 rounds up to the next integer.
A t-shirt company sells t-shirts for $8 apiece if five or fewer are sold, $6 apiece if 5-10 are purchased, or $5 apiece if more than 10 are purchased. Why is this considered to be a DISCRETE function? Sketch a graph.
Graph piecewise function f shown below: = 2, 6 < 2 4 , 2 < 2 6 , 2 < 4
Step functions nc math 3
Step functions nc math 3
Step functions nc math 3

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Step functions nc math 3

  • 2. Ms. Adams is traveling to California to see her sisters. She drives at a constant pace: 100 miles the first two hours 210 miles the next three hours 240 miles the next four hours Create a graph showing her rate for each hour.
  • 3. The post office offers flat-rate mailing of packages: $1.50 for a package weighing less than 4 oz, $2.50 for a package weighing 4 oz to less than 8 oz, and $3.50 for a package weighing 8 oz to 12 oz. Graph this function. Image source labeled for reuse with modification: https://upload.wikimedia.org/wikipedia/commons/3/37/Small_USPS_Truck.jpg
  • 4. The greatest integer function returns the greatest integer LESS THAN OR EQUAL TO the input value. Greatest integer notation: f(x) = or = (or occasionally f(x) = [x]). Sometimes called floor function How can it be graphed on a calculator? Is this function continuous?
  • 6. The rounding function returns the integer based on the decimal values of the input. Any decimal value < .5 returns the whole number part of the input. Any decimal value .5 rounds up to the next integer.
  • 7. A t-shirt company sells t-shirts for $8 apiece if five or fewer are sold, $6 apiece if 5-10 are purchased, or $5 apiece if more than 10 are purchased. Why is this considered to be a DISCRETE function? Sketch a graph.
  • 8. Graph piecewise function f shown below: = 2, 6 < 2 4 , 2 < 2 6 , 2 < 4